Graph the Image Using a Scale Factor

The 4 points on the graph represent the points of quadrilateral ABCD. Place on the graph the 4 points after they are dilated by a scale factor of 2 using the origin as the center of dilation.

Tags

NC.M2.G-SRT.1c

Mathematical Equivalence

ON

Tags

NC.M2.G-SRT.1b

Identify the Scale Factor. Click on image to see.

• 1/6

• 6

• 1/5

• 5

To dilate a figure on the coordinate plane, multiply the x and y values of the each ordered pair by the given ​ (a)  

• scale factor

• ratio

• equation

• pre-image

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

scale factor = _______

Mathematical Equivalence

ON

The two rectangles are scale drawings. What is the measurement of x?

• 21

• 1.25

• 20

• 4

When a dilation has occurred on the coordinate plane, you can find the scale factor by choosing corresponding sides or vertices and setting up a ratio:​ (a)  

Dilate triangle ABC using a scale factor of 1.5. Use the graph to answer the following questions.

1. 1. Record the pre-image coordinates

• A (-2,-2)

  B (2, 2)

  C (4, -2)

• A (2, -2)

  B (-2, 2)

  C (-4, -2)

• A (-2, -2)

  B (2, 2)

  C (-2, 4)

Dilate triangle ABC using a scale factor of 1.5. Use the graph to answer the following questions.

1. 1. Record the image coordinates

• A' (-3, -4)

  B' (3, 5)

  C'(-3, 6)

• A' (-3, -3)

  B' (3, 3)

  C' (6,-3)

• A (-2, -2)

  B (2, 2)

  C (-2, 4)

The triangle dilated by a scale factor of 1.5 Write a rule to represent the dilation.